A General Theory of Strength for Anisotropic Materials

SAGE Publications - Tập 5 Số 1 - Trang 58-80 - 1971
Stephen W. Tsai1, Edward M. Wu2
1Air Force Materials Laboratory Wright-Patterson AFB, Ohio 45433
2Washington University, St. Louis, Missouri, 63130

Tóm tắt

An operationally simple strength criterion for anisotropic materials is developed from a scalar function of two strength tensors. Differing from existing quadratic approximations of failure surfaces, the present theory satisfies the invariant requirements of coordinate transforma tion, treats interaction terms as independent components, takes into account the difference in strengths due to positive and negative stresses, and can be specialized to account for different material symmetries, multi-dimensional space, and multi-axial stresses. The measured off-axis uniaxial and pure shear data are shown to be in good agreement with the predicted values based on the present theory.

Từ khóa


Tài liệu tham khảo

1969, Composite Materials: Testing and Design

R. Hill, 1956, The Mathematical Theory of Plasticity

S.W. Tsai and N.J. Pagano, "Invariant Properties of Composite Materials," Composite Materials Workshop, ed. S. W. Tsai, J. C. Halpin and N. J. Pagano , Technomic (1968), p. 233.

I.I. Gol'denblat, 1965, Mekhanika Polimerov, 1, 70

H.S. Carslaw, 1959, Heat Conduction in Solids

S.G. Lekhnitskii, 1968, Anisotropic Plates, 2

10.1016/0015-0568(68)90004-3

E.K. Ashkenazi, 1965, Mekhanika Polimerov, 1, 79

J.C. Halpin and E.M. Wu, unpublished data.

10.1177/002199836700100210

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SAGE Publications

Tập 5 Số 1

58-80

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